A multichannel imaging system generates an ensemble of images for each field of view of an object. Each image in the ensemble is intended to contain information from only one source among a plurality of sources for the object. However, due to crosstalk, at least a portion of the signal from a first source appears in a channel intended for a second source. Because the accuracy of the correction will be degraded if the images in an ensemble are spatially misaligned with respect to one another, the spatial offset between images is determined and a correction is applied to substantially eliminate the offset. Then, a correction to the signals is determined to substantially reduce the contributions to the signal in a channel from the signals in other channels. The signal processing can be employed to process the output signals for each of a plurality of different disclosed imaging systems.